Question

What is the distance between the points (-9, 4) and (3,-12)? A 12 units B. 16 units c. 20 units D. 28 units​

Answer 1

C

Explanation:

calculate the distance d using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (- 9, 4 ) and (x₂, y₂ ) = (3, - 12 )

d =
`√((3-(-9))^2+(-12-4)^2)`

=
`√((3+9)^2+(-16)^2)`

=
`√(12^2+256)`

=
`√(144+256)`

=
`√(400)`

= 20 units